As a private maths tutor, I follow a structured yet flexible approach to ensure each session is tailored to the student's needs. I begin by setting clear objectives for the lesson, reviewing previous knowledge, and identifying any areas of difficulty. I then introduce or review the core concepts in simple terms, often using visual aids or real-world examples to make the material more engaging and relatable to everyday life. This is followed by guided practice, where I work through problems step-by-step with the student, allowing them to explain their thought process, which helps identify and address any misconceptions early. Once the student has a solid grasp of the concept, I provide independent practice to let them apply what they've learned while I observe and offer guidance when necessary. Detailed feedback is crucial, as it helps correct mistakes, reinforces the correct methods, and builds confidence in their problem-solving abilities. At the end of the lesson, I recap the key takeaways, clarify any remaining questions, and ensure the student fully understands the material. I also assign homework for additional practice and periodically assess progress to track understanding and retention, adjusting my teaching strategy as needed. Additionally, I aim to foster a supportive learning environment, encouraging the student to ask questions freely and develop a positive attitude toward math. My goal is to adapt each lesson to the student’s individual learning style and pace, ensuring steady improvement, greater confidence, long-term success in math, and a lasting appreciation for the subject through continuous growth and development.